A block slides with constant velocity down an inclined plane that has a slope angle theta. The block is then projected up the same plane with an initial speed of v0. (a) How far up the plane will it move before coming to rest? (b) After the block comes to rest, will it slide down the plane again? Give an argument to back your answer.

A block slides with constant velocity down an inclined plane that has a slope angle theta. The block is then projected up the same plane with an initial speed of v0. (a) How far up the plane will it move before coming to rest? (b) After the block comes to rest, will it slide down the plane again? Give an argument to back your answer.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter7: Hamilton's Principle-lagrangian And Hamiltonian Dynamics

Section: Chapter Questions

Problem 7.12P

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A block slides with constant velocity down an inclined plane that has a slope angle theta. The block is then projected up the same plane with an initial speed of v₀.

(a) How far up the plane will it move before coming to rest?

(b) After the block comes to rest, will it slide down the plane again? Give an argument to back your answer.

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